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Finding the Third Proportional to 1,121,661 and 1,740,097.69

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Solution

The third proportional to 1,121,661 and 1,740,097.69 is: 2,699,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,661 : 1,740,097.69 = 1,740,097.69 : x
  2. Step 2: Convert to fraction form
    1,121,661/1,740,097.69 = 1,740,097.69/x
  3. Step 3: Cross multiply
    1,121,661x = 1,740,097.69 × 1,740,097.69
  4. Step 4: Simplify right side
    1,121,661x = 3,027,939,962,042.85
  5. Step 5: Solve for x
    x = 3,027,939,962,042.85/1,121,661
  6. Step 6: Final answer
    x = 2,699,514.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.